I always check the conditions of the rings if they need Honing or shimming. If you don't check these conditions you will Tweak the scope when tightening the screws down...Most of this has been taken care at the factory on high $$ bases and rings......

If I am going to hone them, I have a 1"X8" SS round stock and mix some Jewelers Rouge (NOT GRINDING COMPOUND)with 3 or 4 drops of 3-in-1 oil and apply it to the round stock. When I tighten the caps down, I work the Rod back and forth until the high spots are removed. I wipe the rings down real good and try the RingAligner. Ifpoints still don't align Then I start the Shimming process until the points align.....Remember to always tighten the screws in sequence.